Electrostatic Force curved beam

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SUMMARY

The discussion focuses on calculating the electrostatic force between a curved beam and a standard parallel plate electrode. The user possesses an equation for the critical force required to induce snapping between bi-stable states of the beam but seeks guidance on deriving the electrostatic force in this specific configuration. It is noted that while the electrostatic force for two parallel plates is understood, the complexity increases with the curvature of the beam. The user emphasizes the relevance of the infinite plate electric field, which remains constant regardless of distance.

PREREQUISITES
  • Understanding of electrostatic force calculations
  • Familiarity with bi-stable beam mechanics
  • Knowledge of parallel plate electrode configurations
  • Basic principles of electric fields and their behavior
NEXT STEPS
  • Research methods for calculating electrostatic forces in non-linear geometries
  • Explore the principles of curved beam mechanics in electrostatics
  • Study the effects of electric field variations on curved surfaces
  • Investigate advanced topics in electrostatic actuation and stability analysis
USEFUL FOR

Mechanical engineers, electrical engineers, and researchers working on electrostatic actuation systems or studying the mechanics of curved beams in electrostatic fields.

Chase_md
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Hi,

I'm trying to figure out what the electrostatic force between a curved beam (see picture attached) and a standard parallel plate electrode would be. I have an equation for the critical force to induce snapping between the bi-stable states of the beam, but I need to find out one for electrostatic force to induce this snapping.

I know how to obtain the electrostatic force for 2 parallel plates, but when the beam is curved I'm having an issue. Can someone point me in the right direction here?

Thanks so much!
 

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For infinite plate electric field does not depend on distance.
 

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